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Display information for equation id:math.1677.27 on revision:1677

* Page found: Kugelsymmetrische Potentiale (eq math.1677.27)

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Hash: da1a2dcc4d998aef40716c0cb95da807

TeX (original user input):

\frac{{{{\hat{p}}}^{2}}}{2m}=\frac{1}{2m{{r}^{2}}}\left[ {{\left( \hat{\bar{r}}\cdot \hat{\bar{p}} \right)}^{2}}-i\hbar \left( \hat{\bar{r}}\cdot \hat{\bar{p}} \right)+{{{\hat{L}}}^{2}} \right]

TeX (checked):

{\frac {{\hat {p}}^{2}}{2m}}={\frac {1}{2m{{r}^{2}}}}\left[{{\left({\hat {\bar {r}}}\cdot {\hat {\bar {p}}}\right)}^{2}}-i\hbar \left({\hat {\bar {r}}}\cdot {\hat {\bar {p}}}\right)+{{\hat {L}}^{2}}\right]

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.709 KB / 392 B) :

p̂22m=12mr2[(r¯̂p¯̂)2i(r¯̂p¯̂)+L̂2]
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mover><mi>p</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo stretchy="false"></mo><mover><mover><mi>p</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false"></mo><mi>i</mi><mi alternate="1"></mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo stretchy="false"></mo><mover><mover><mi>p</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><msup><mover><mi>L</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>

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Translation to Mathematica

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Calculated based on the variables occurring on the entire Kugelsymmetrische Potentiale page

Identifiers

  • p̂
  • m
  • m
  • r
  • r¯̂
  • p¯̂
  • i
  • r¯̂
  • p¯̂
  • L̂

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